>
h:= x -> x^2 +
3;
![h := proc (x) options operator, arrow; x^2+3 end pr...](xxx.files/C1-25R28.gif)
>
rightbox(h(x), x
= 0..4, 8, color
= blue, shading
= gray);
![[Maple Plot]](xxx.files/C1-25R29.gif)
>
rightsum(h(x), x
= 0..4,
8):%=evalf(%);
![1/2*Sum(1/4*i^2+3,i = 1 .. 8) = 37.50000000](xxx.files/C1-25R30.gif)
>
rightbox(h(x), x
= 0..4, 16,
color = blue,
shading = gray);
![[Maple Plot]](xxx.files/C1-25R31.gif)
>
rightsum(h(x), x
= 0..4,
16):%=evalf(%);
![1/4*Sum(1/16*i^2+3,i = 1 .. 16) = 35.37500000](xxx.files/C1-25R32.gif)
>
rightbox(h(x), x
= 0..4, 128,
color = blue,
shading = gray);
![[Maple Plot]](xxx.files/C1-25R33.gif)
>
rightsum(h(x), x
= 0..4,
128):%=evalf(%);
![1/32*Sum(1/1024*i^2+3,i = 1 .. 128) = 33.58398438](xxx.files/C1-25R34.gif)
>
Int(h(x),x):%=value(%)+C;
![Int(x^2+3,x) = 1/3*x^3+3*x+C](xxx.files/C1-25R35.gif)
>
Int(h(x), x =
0..4):%=evalf(%);
![Int(x^2+3,x = 0 .. 4) = 33.33333333](xxx.files/C1-25R36.gif)